TSTP Solution File: SYN554-1 by Etableau---0.67

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : SYN554-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s

% Computer : n011.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Thu Jul 21 06:12:25 EDT 2022

% Result   : Unsatisfiable 0.19s 0.37s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN554-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.13  % Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.12/0.34  % Computer : n011.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Mon Jul 11 20:28:57 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.37  # No SInE strategy applied
% 0.19/0.37  # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.19/0.37  # and selection function SelectComplexExceptUniqMaxHorn.
% 0.19/0.37  #
% 0.19/0.37  # Presaturation interreduction done
% 0.19/0.37  # Number of axioms: 9 Number of unprocessed: 9
% 0.19/0.37  # Tableaux proof search.
% 0.19/0.37  # APR header successfully linked.
% 0.19/0.37  # Hello from C++
% 0.19/0.37  # The folding up rule is enabled...
% 0.19/0.37  # Local unification is enabled...
% 0.19/0.37  # Any saturation attempts will use folding labels...
% 0.19/0.37  # 9 beginning clauses after preprocessing and clausification
% 0.19/0.37  # Creating start rules for all 9 conjectures.
% 0.19/0.37  # There are 9 start rule candidates:
% 0.19/0.37  # Found 4 unit axioms.
% 0.19/0.37  # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.19/0.37  # 9 start rule tableaux created.
% 0.19/0.37  # 5 extension rule candidate clauses
% 0.19/0.37  # 4 unit axiom clauses
% 0.19/0.37  
% 0.19/0.37  # Requested 8, 32 cores available to the main process.
% 0.19/0.37  # There were 1 total branch saturation attempts.
% 0.19/0.37  # There were 0 of these attempts blocked.
% 0.19/0.37  # There were 0 deferred branch saturation attempts.
% 0.19/0.37  # There were 0 free duplicated saturations.
% 0.19/0.37  # There were 1 total successful branch saturations.
% 0.19/0.37  # There were 0 successful branch saturations in interreduction.
% 0.19/0.37  # There were 0 successful branch saturations on the branch.
% 0.19/0.37  # There were 1 successful branch saturations after the branch.
% 0.19/0.37  # SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.37  # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.37  # Begin clausification derivation
% 0.19/0.37  
% 0.19/0.37  # End clausification derivation
% 0.19/0.37  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.19/0.37  cnf(i_0_13, negated_conjecture, (p2(f3(c5,c6),f3(c5,c7)))).
% 0.19/0.37  cnf(i_0_10, negated_conjecture, (p2(X1,X1))).
% 0.19/0.37  cnf(i_0_12, negated_conjecture, (~p2(c6,c7))).
% 0.19/0.37  cnf(i_0_11, negated_conjecture, (~p4(X1,X1))).
% 0.19/0.37  cnf(i_0_16, negated_conjecture, (p4(f3(c5,X1),f3(c5,X2))|~p4(X1,X2))).
% 0.19/0.37  cnf(i_0_14, negated_conjecture, (p4(X1,X2)|p4(X2,X1)|p2(X1,X2))).
% 0.19/0.37  cnf(i_0_15, negated_conjecture, (p2(X1,X2)|~p2(X3,X2)|~p2(X3,X1))).
% 0.19/0.37  cnf(i_0_17, negated_conjecture, (p4(X1,X2)|~p4(X3,X4)|~p2(X3,X1)|~p2(X4,X2))).
% 0.19/0.37  cnf(i_0_18, negated_conjecture, (p2(f3(X1,X2),f3(X3,X4))|~p2(X2,X4)|~p2(X1,X3))).
% 0.19/0.37  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.19/0.37  # Begin printing tableau
% 0.19/0.37  # Found 9 steps
% 0.19/0.37  cnf(i_0_18, negated_conjecture, (p2(f3(X15,X16),f3(X15,X16))|~p2(X16,X16)|~p2(X15,X15)), inference(start_rule)).
% 0.19/0.37  cnf(i_0_20, plain, (~p2(X16,X16)), inference(closure_rule, [i_0_10])).
% 0.19/0.37  cnf(i_0_21, plain, (~p2(X15,X15)), inference(closure_rule, [i_0_10])).
% 0.19/0.37  cnf(i_0_19, plain, (p2(f3(X15,X16),f3(X15,X16))), inference(extension_rule, [i_0_18])).
% 0.19/0.37  cnf(i_0_40, plain, (~p2(X17,X17)), inference(closure_rule, [i_0_10])).
% 0.19/0.37  cnf(i_0_38, plain, (p2(f3(X17,f3(X15,X16)),f3(X17,f3(X15,X16)))), inference(extension_rule, [i_0_17])).
% 0.19/0.37  cnf(i_0_41, plain, (p4(f3(X17,f3(X15,X16)),f3(X17,f3(X15,X16)))), inference(closure_rule, [i_0_11])).
% 0.19/0.37  cnf(i_0_44, plain, (~p2(f3(X17,f3(X15,X16)),f3(X17,f3(X15,X16)))), inference(closure_rule, [i_0_10])).
% 0.19/0.37  cnf(i_0_42, plain, (~p4(f3(X17,f3(X15,X16)),f3(X17,f3(X15,X16)))), inference(etableau_closure_rule, [i_0_42, ...])).
% 0.19/0.37  # End printing tableau
% 0.19/0.37  # SZS output end
% 0.19/0.37  # Branches closed with saturation will be marked with an "s"
% 0.19/0.37  # There were 1 total branch saturation attempts.
% 0.19/0.37  # There were 0 of these attempts blocked.
% 0.19/0.37  # There were 0 deferred branch saturation attempts.
% 0.19/0.37  # There were 0 free duplicated saturations.
% 0.19/0.37  # There were 1 total successful branch saturations.
% 0.19/0.37  # There were 0 successful branch saturations in interreduction.
% 0.19/0.37  # There were 0 successful branch saturations on the branch.
% 0.19/0.37  # There were 1 successful branch saturations after the branch.
% 0.19/0.37  # SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.37  # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.37  # Begin clausification derivation
% 0.19/0.37  
% 0.19/0.37  # End clausification derivation
% 0.19/0.37  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.19/0.37  cnf(i_0_13, negated_conjecture, (p2(f3(c5,c6),f3(c5,c7)))).
% 0.19/0.37  cnf(i_0_10, negated_conjecture, (p2(X1,X1))).
% 0.19/0.37  cnf(i_0_12, negated_conjecture, (~p2(c6,c7))).
% 0.19/0.37  cnf(i_0_11, negated_conjecture, (~p4(X1,X1))).
% 0.19/0.37  cnf(i_0_16, negated_conjecture, (p4(f3(c5,X1),f3(c5,X2))|~p4(X1,X2))).
% 0.19/0.37  cnf(i_0_14, negated_conjecture, (p4(X1,X2)|p4(X2,X1)|p2(X1,X2))).
% 0.19/0.37  cnf(i_0_15, negated_conjecture, (p2(X1,X2)|~p2(X3,X2)|~p2(X3,X1))).
% 0.19/0.37  cnf(i_0_17, negated_conjecture, (p4(X1,X2)|~p4(X3,X4)|~p2(X3,X1)|~p2(X4,X2))).
% 0.19/0.37  cnf(i_0_18, negated_conjecture, (p2(f3(X1,X2),f3(X3,X4))|~p2(X2,X4)|~p2(X1,X3))).
% 0.19/0.37  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.19/0.37  # Begin printing tableau
% 0.19/0.37  # Found 8 steps
% 0.19/0.37  cnf(i_0_17, negated_conjecture, (p4(f3(c5,X4),f3(c5,X4))|~p4(f3(c5,X4),f3(c5,X4))|~p2(f3(c5,X4),f3(c5,X4))|~p2(f3(c5,X4),f3(c5,X4))), inference(start_rule)).
% 0.19/0.37  cnf(i_0_22, plain, (p4(f3(c5,X4),f3(c5,X4))), inference(closure_rule, [i_0_11])).
% 0.19/0.37  cnf(i_0_24, plain, (~p2(f3(c5,X4),f3(c5,X4))), inference(closure_rule, [i_0_10])).
% 0.19/0.37  cnf(i_0_25, plain, (~p2(f3(c5,X4),f3(c5,X4))), inference(closure_rule, [i_0_10])).
% 0.19/0.37  cnf(i_0_23, plain, (~p4(f3(c5,X4),f3(c5,X4))), inference(extension_rule, [i_0_16])).
% 0.19/0.37  cnf(i_0_52, plain, (~p4(X4,X4)), inference(extension_rule, [i_0_14])).
% 0.19/0.37  cnf(i_0_64, plain, (p4(X4,X4)), inference(closure_rule, [i_0_11])).
% 0.19/0.37  cnf(i_0_65, plain, (p2(X4,X4)), inference(etableau_closure_rule, [i_0_65, ...])).
% 0.19/0.37  # End printing tableau
% 0.19/0.37  # SZS output end
% 0.19/0.37  # Branches closed with saturation will be marked with an "s"
% 0.19/0.37  # There were 1 total branch saturation attempts.
% 0.19/0.37  # There were 0 of these attempts blocked.
% 0.19/0.37  # There were 0 deferred branch saturation attempts.
% 0.19/0.37  # There were 0 free duplicated saturations.
% 0.19/0.37  # There were 1 total successful branch saturations.
% 0.19/0.37  # There were 0 successful branch saturations in interreduction.
% 0.19/0.37  # There were 0 successful branch saturations on the branch.
% 0.19/0.37  # There were 1 successful branch saturations after the branch.
% 0.19/0.37  # SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.37  # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.37  # Begin clausification derivation
% 0.19/0.37  
% 0.19/0.37  # End clausification derivation
% 0.19/0.37  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.19/0.37  cnf(i_0_13, negated_conjecture, (p2(f3(c5,c6),f3(c5,c7)))).
% 0.19/0.37  cnf(i_0_10, negated_conjecture, (p2(X1,X1))).
% 0.19/0.37  cnf(i_0_12, negated_conjecture, (~p2(c6,c7))).
% 0.19/0.37  cnf(i_0_11, negated_conjecture, (~p4(X1,X1))).
% 0.19/0.37  cnf(i_0_16, negated_conjecture, (p4(f3(c5,X1),f3(c5,X2))|~p4(X1,X2))).
% 0.19/0.37  cnf(i_0_14, negated_conjecture, (p4(X1,X2)|p4(X2,X1)|p2(X1,X2))).
% 0.19/0.37  cnf(i_0_15, negated_conjecture, (p2(X1,X2)|~p2(X3,X2)|~p2(X3,X1))).
% 0.19/0.37  cnf(i_0_17, negated_conjecture, (p4(X1,X2)|~p4(X3,X4)|~p2(X3,X1)|~p2(X4,X2))).
% 0.19/0.37  cnf(i_0_18, negated_conjecture, (p2(f3(X1,X2),f3(X3,X4))|~p2(X2,X4)|~p2(X1,X3))).
% 0.19/0.37  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.19/0.37  # Begin printing tableau
% 0.19/0.37  # Found 7 steps
% 0.19/0.37  cnf(i_0_16, negated_conjecture, (p4(f3(c5,X6),f3(c5,X6))|~p4(X6,X6)), inference(start_rule)).
% 0.19/0.37  cnf(i_0_32, plain, (p4(f3(c5,X6),f3(c5,X6))), inference(closure_rule, [i_0_11])).
% 0.19/0.37  cnf(i_0_33, plain, (~p4(X6,X6)), inference(extension_rule, [i_0_14])).
% 0.19/0.37  cnf(i_0_49, plain, (p4(X6,X6)), inference(closure_rule, [i_0_11])).
% 0.19/0.37  cnf(i_0_50, plain, (p2(X6,X6)), inference(extension_rule, [i_0_18])).
% 0.19/0.37  cnf(i_0_53, plain, (~p2(X5,X5)), inference(closure_rule, [i_0_10])).
% 0.19/0.37  cnf(i_0_51, plain, (p2(f3(X5,X6),f3(X5,X6))), inference(etableau_closure_rule, [i_0_51, ...])).
% 0.19/0.37  # End printing tableau
% 0.19/0.37  # SZS output end
% 0.19/0.37  # Branches closed with saturation will be marked with an "s"
% 0.19/0.37  # There were 1 total branch saturation attempts.
% 0.19/0.37  # There were 0 of these attempts blocked.
% 0.19/0.37  # There were 0 deferred branch saturation attempts.
% 0.19/0.37  # There were 0 free duplicated saturations.
% 0.19/0.37  # There were 1 total successful branch saturations.
% 0.19/0.37  # There were 0 successful branch saturations in interreduction.
% 0.19/0.37  # There were 0 successful branch saturations on the branch.
% 0.19/0.37  # There were 1 successful branch saturations after the branch.
% 0.19/0.37  # SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.37  # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.37  # Begin clausification derivation
% 0.19/0.37  
% 0.19/0.37  # End clausification derivation
% 0.19/0.37  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.19/0.37  cnf(i_0_13, negated_conjecture, (p2(f3(c5,c6),f3(c5,c7)))).
% 0.19/0.37  cnf(i_0_10, negated_conjecture, (p2(X1,X1))).
% 0.19/0.37  cnf(i_0_12, negated_conjecture, (~p2(c6,c7))).
% 0.19/0.37  cnf(i_0_11, negated_conjecture, (~p4(X1,X1))).
% 0.19/0.37  cnf(i_0_16, negated_conjecture, (p4(f3(c5,X1),f3(c5,X2))|~p4(X1,X2))).
% 0.19/0.37  cnf(i_0_14, negated_conjecture, (p4(X1,X2)|p4(X2,X1)|p2(X1,X2))).
% 0.19/0.37  cnf(i_0_15, negated_conjecture, (p2(X1,X2)|~p2(X3,X2)|~p2(X3,X1))).
% 0.19/0.37  cnf(i_0_17, negated_conjecture, (p4(X1,X2)|~p4(X3,X4)|~p2(X3,X1)|~p2(X4,X2))).
% 0.19/0.37  cnf(i_0_18, negated_conjecture, (p2(f3(X1,X2),f3(X3,X4))|~p2(X2,X4)|~p2(X1,X3))).
% 0.19/0.37  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.19/0.37  # Begin printing tableau
% 0.19/0.37  # Found 6 steps
% 0.19/0.37  cnf(i_0_11, negated_conjecture, (~p4(X6,X6)), inference(start_rule)).
% 0.19/0.37  cnf(i_0_34, plain, (~p4(X6,X6)), inference(extension_rule, [i_0_14])).
% 0.19/0.37  cnf(i_0_49, plain, (p4(X6,X6)), inference(closure_rule, [i_0_11])).
% 0.19/0.37  cnf(i_0_50, plain, (p2(X6,X6)), inference(extension_rule, [i_0_18])).
% 0.19/0.37  cnf(i_0_53, plain, (~p2(X5,X5)), inference(closure_rule, [i_0_10])).
% 0.19/0.37  cnf(i_0_51, plain, (p2(f3(X5,X6),f3(X5,X6))), inference(etableau_closure_rule, [i_0_51, ...])).
% 0.19/0.37  # End printing tableau
% 0.19/0.37  # SZS output end
% 0.19/0.37  # Branches closed with saturation will be marked with an "s"
% 0.19/0.37  # Child (12997) has found a proof.
% 0.19/0.37  
% 0.19/0.37  # There were 1 total branch saturation attempts.
% 0.19/0.37  # There were 0 of these attempts blocked.
% 0.19/0.37  # There were 0 deferred branch saturation attempts.
% 0.19/0.37  # There were 0 free duplicated saturations.
% 0.19/0.37  # There were 1 total successful branch saturations.
% 0.19/0.37  # There were 0 successful branch saturations in interreduction.
% 0.19/0.37  # There were 0 successful branch saturations on the branch.
% 0.19/0.37  # There were 1 successful branch saturations after the branch.
% 0.19/0.37  # Proof search is over...
% 0.19/0.37  # Freeing feature tree
%------------------------------------------------------------------------------